Question

The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.​

Answer 1

Answer:

64+36 = (radius)^2

radius = √100

radius = 10cm

Answer 2

EXPLANATION.

Radii of two circle 8 cm and 6 cm.

As we know that,

Area of the circle = πr².

Area of circle having radius = 8 cm.

⇒ π x (8)² = 64π.

Area of the circle having radius = 6 cm.

⇒ π x (6)² = 36π.

Radius of the circle having area equal to the sum of the areas of the two circles.

Area of the circle = A₁ + A₂.

⇒ πr² = 64π + 36π.

⇒ πr² = 100π.

⇒ r² = 100.

⇒ r = √100.

⇒ r = 10 cm.

Radius of the circle = 10 cm.

                                                                                                                       

MORE INFORMATION.

(1) = Area of circle = πr².

(2) = Area of circumference = 2πr.

(3) = Length of an arc of the sector = (θ/360°) x 2πr.

(4) = Area of the sector of the circle = (θ/360°) x πr².

(5) = Area of triangle = 1/2 x Base x Height.